15 June 2004 Jumping coefficients of multiplier ideals
Lawrence Ein, Robert Lazarsfeld, Karen E. Smith, Dror Varolin
Duke Math. J. 123(3): 469-506 (15 June 2004). DOI: 10.1215/S0012-7094-04-12333-4

Abstract

We study some local invariants attached via multiplier ideals to an effective divisor or ideal sheaf on a smooth complex variety. These jumping coefficients consist of an increasing sequence of positive rational numbers beginning with the log-canonical threshold of the divisor or ideal in question. They encode interesting geometric and algebraic information, and we see that they arise naturally in several different contexts.

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Lawrence Ein. Robert Lazarsfeld. Karen E. Smith. Dror Varolin. "Jumping coefficients of multiplier ideals." Duke Math. J. 123 (3) 469 - 506, 15 June 2004. https://doi.org/10.1215/S0012-7094-04-12333-4

Information

Published: 15 June 2004
First available in Project Euclid: 11 June 2004

zbMATH: 1061.14003
MathSciNet: MR2068967
Digital Object Identifier: 10.1215/S0012-7094-04-12333-4

Subjects:
Primary: 14B05
Secondary: 13H99 , 32S05

Rights: Copyright © 2004 Duke University Press

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Vol.123 • No. 3 • 15 June 2004
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